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|Title:||On a generalization of Albert's theorem|
|Source:||Leung, K.H. (1990-10). On a generalization of Albert's theorem. Israel Journal of Mathematics 69 (3) : 337-350. ScholarBank@NUS Repository. https://doi.org/10.1007/BF02764778|
|Abstract:||It is proved by A. A. Albert that in an ordered division ring, any element algebraic over the center is central. In this paper, we shall investigate the following problem. Let D be an ordered division ring. Suppose every element in D is left algebraic over a maximal subfield K. Does it follow that D=K? We prove that the answers are affirmative in some cases. © 1990 The Weizmann Science Press of Israel.|
|Source Title:||Israel Journal of Mathematics|
|Appears in Collections:||Staff Publications|
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